We prove that the solution of the space homogeneus Boltzmann equation is bounded from below by an exponential. The proof is given for the Kac equation and for the Boltzmann equation in the case of Maxwell pseudo-molecules, but it can be adapted to the case of cut-off potentials.
Lower bounds for the solutions to the Kac and the Boltzmann equation.
PULVIRENTI, ADA;
1996-01-01
Abstract
We prove that the solution of the space homogeneus Boltzmann equation is bounded from below by an exponential. The proof is given for the Kac equation and for the Boltzmann equation in the case of Maxwell pseudo-molecules, but it can be adapted to the case of cut-off potentials.File in questo prodotto:
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